{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from fbprophet import Prophet\n",
    "from fbprophet.plot import add_changepoints_to_plot\n",
    "from fbprophet.diagnostics import cross_validation\n",
    "from fbprophet.diagnostics import performance_metrics\n",
    "from fbprophet.plot import plot_cross_validation_metric\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "seals = pd.read_csv('data/harbor_seals.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>year</th>\n",
       "      <th>harbor seals in Wadden Sea (thousands)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1997</td>\n",
       "      <td>3.493</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1998</td>\n",
       "      <td>5.282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1999</td>\n",
       "      <td>6.357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2000</td>\n",
       "      <td>9.201</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2001</td>\n",
       "      <td>11.224</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   year  harbor seals in Wadden Sea (thousands)\n",
       "0  1997                                   3.493\n",
       "1  1998                                   5.282\n",
       "2  1999                                   6.357\n",
       "3  2000                                   9.201\n",
       "4  2001                                  11.224"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "seals.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>year</th>\n",
       "      <th>harbor seals in Wadden Sea (thousands)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2008</td>\n",
       "      <td>23.869</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2009</td>\n",
       "      <td>24.243</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2010</td>\n",
       "      <td>24.344</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2011</td>\n",
       "      <td>24.919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2012</td>\n",
       "      <td>25.108</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year  harbor seals in Wadden Sea (thousands)\n",
       "11  2008                                  23.869\n",
       "12  2009                                  24.243\n",
       "13  2010                                  24.344\n",
       "14  2011                                  24.919\n",
       "15  2012                                  25.108"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "seals.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = range(len(seals['year'].tolist()))\n",
    "y = seals['harbor seals in Wadden Sea (thousands)'].tolist()\n",
    "\n",
    "xvals = np.append(np.arange(0, len(x) - 1, 1/12), 15)\n",
    "yinterp = np.interp(xvals, x, y)\n",
    "\n",
    "plt.figure(figsize=(14, 10))\n",
    "plt.plot(x, y, 'o')\n",
    "plt.plot(xvals, yinterp, '-x')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "4.999999999999999\n",
      "8.660254037844386\n",
      "10.0\n",
      "8.660254037844387\n",
      "4.999999999999999\n",
      "1.2246467991473533e-15\n",
      "-5.000000000000001\n",
      "-8.660254037844386\n",
      "-10.0\n",
      "-8.660254037844386\n",
      "-5.000000000000004\n",
      "-2.4492935982947065e-15\n"
     ]
    }
   ],
   "source": [
    "for i in range(13):\n",
    "    print(10 * np.sin(i * (360 / 12) * (np.pi / 180)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14, 10))\n",
    "plt.plot(x, y, 'o', ms=10)\n",
    "plt.plot(xvals, yinterp, '-x', ms=10)\n",
    "plt.plot(xvals, [(yinterp[i] + yinterp[i // 12] / 10 * (random.random() * 2 - 1)) \n",
    "                 if i % 12 != 0 \n",
    "                 else yinterp[i] for i in range(len(yinterp))], '.', ms=7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'ds': pd.to_datetime(pd.date_range('1997-01','2012-02', freq='M').strftime(\"%Y-%b\").tolist()),\n",
    "                   'y': [int(1000 * (yinterp[i] + sum(yinterp) / len(yinterp) / 100 * (1 + (random.random() * 2 - 1))))\n",
    "                         if i % 12 != 0\n",
    "                         else int(1000 * yinterp[i]) for i in range(len(yinterp))]})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# df.rename(columns={'ds': 'date', 'y': 'num_seals'}).to_csv('data/seals.csv', index=False)\n",
    "df = pd.read_csv('data/seals.csv')\n",
    "df = df.rename(columns={'date': 'ds', 'num_seals': 'y'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1997-01-01</td>\n",
       "      <td>3493</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1997-02-01</td>\n",
       "      <td>3955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1997-03-01</td>\n",
       "      <td>3878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1997-04-01</td>\n",
       "      <td>4087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1997-05-01</td>\n",
       "      <td>4296</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           ds     y\n",
       "0  1997-01-01  3493\n",
       "1  1997-02-01  3955\n",
       "2  1997-03-01  3878\n",
       "3  1997-04-01  4087\n",
       "4  1997-05-01  4296"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>2011-09-01</td>\n",
       "      <td>25112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>2011-10-01</td>\n",
       "      <td>25268</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>2011-11-01</td>\n",
       "      <td>25305</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>2011-12-01</td>\n",
       "      <td>25202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>2012-01-01</td>\n",
       "      <td>25108</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             ds      y\n",
       "176  2011-09-01  25112\n",
       "177  2011-10-01  25268\n",
       "178  2011-11-01  25305\n",
       "179  2011-12-01  25202\n",
       "180  2012-01-01  25108"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "cap = 26000\n",
    "floor = 0\n",
    "df['cap'] = cap\n",
    "df['floor'] = floor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prophet = Prophet(growth='logistic',\n",
    "                  n_changepoints=25,\n",
    "                  changepoint_range=0.8,\n",
    "                  yearly_seasonality=False,\n",
    "                  weekly_seasonality=False,\n",
    "                  daily_seasonality=False,\n",
    "                  holidays=None,\n",
    "                  seasonality_mode='additive',\n",
    "                  seasonality_prior_scale=10,\n",
    "                  changepoint_prior_scale=.01,\n",
    "                  mcmc_samples=0)\n",
    "prophet.fit(df)\n",
    "future = prophet.make_future_dataframe(periods=365 * 5, freq='D')\n",
    "future['cap'] = cap\n",
    "future['floor'] = floor\n",
    "forecast = prophet.predict(future)\n",
    "fig = prophet.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), prophet, forecast)\n",
    "plt.show()\n",
    "fig2 = prophet.plot_components(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Making 12 forecasts with cutoffs between 1998-04-09 00:00:00 and 2009-04-06 00:00:00\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a54e961ee7934d6888df9367052caa9a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, max=12.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:n_changepoints greater than number of observations. Using 11.\n",
      "INFO:fbprophet:n_changepoints greater than number of observations. Using 21.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mape: 2.67%\n"
     ]
    }
   ],
   "source": [
    "df_cv = cross_validation(prophet, initial='365 days', period='365 days', horizon = '1000 days')\n",
    "df_p = performance_metrics(df_cv)\n",
    "fig = plot_cross_validation_metric(df_cv, metric='mape')\n",
    "plt.show()\n",
    "print('mape:', '{:.2f}%'.format(100 * df_p['mape'].mean()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26bf2ab7388>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.sin([(i - 2) * (360 / 12) * (np.pi / 180) for i in range(13)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14, 10))\n",
    "plt.plot(x, y, 'o', ms=10)\n",
    "plt.plot(xvals, yinterp, '-x', ms=10)\n",
    "plt.plot(xvals, [yinterp[i]  # base value\n",
    "                 + yinterp[i // 12]  # scale by preceding true recording\n",
    "                 * np.sin((i - 2) * (360 / 12) * (np.pi / 180))  # apply sinusoidal form to interpolation\n",
    "                 / 10  # scale sine down a tenth\n",
    "                 + sum(y) / len(y)  # scale by mean value\n",
    "                 * (random.uniform(-.01, .01)) # add random noise\n",
    "                 for i in range(len(yinterp))], '.', ms=7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'ds': pd.to_datetime(pd.date_range('1995-01','2010-02', freq='M').strftime(\"%Y-%b\").tolist()),\n",
    "                   'y': [yinterp[i]  # base value\n",
    "                 + yinterp[i // 12]  # scale by preceding true recording\n",
    "                 * np.sin((i - 2) * (360 / 12) * (np.pi / 180))  # apply sinusoidal form to interpolation\n",
    "                 / 10  # scale sine down a tenth\n",
    "                 + sum(y) / len(y)  # scale by mean value\n",
    "                 * (random.uniform(-.01, .01)) # add random noise\n",
    "                 for i in range(len(yinterp))]})\n",
    "df['y'] = (df['y'] * 1000).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "cap = 26000\n",
    "floor = 0\n",
    "df['cap'] = cap\n",
    "df['floor'] = floor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prophet = Prophet(growth='logistic',\n",
    "                  n_changepoints=25,\n",
    "                  changepoint_range=0.8,\n",
    "                  yearly_seasonality=True,\n",
    "                  weekly_seasonality=False,\n",
    "                  daily_seasonality=False,\n",
    "                  holidays=None,\n",
    "                  seasonality_mode='multiplicative',\n",
    "                  seasonality_prior_scale=.01,\n",
    "                  changepoint_prior_scale=.01,\n",
    "                  mcmc_samples=0)\n",
    "prophet.fit(df)\n",
    "future = prophet.make_future_dataframe(periods=365 * 5, freq='D')\n",
    "future['cap'] = cap\n",
    "future['floor'] = floor\n",
    "forecast = prophet.predict(future)\n",
    "fig = prophet.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), prophet, forecast)\n",
    "plt.show()\n",
    "fig2 = prophet.plot_components(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
      "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prophet = Prophet(growth='logistic',\n",
    "                  seasonality_mode='multiplicative',\n",
    "                  seasonality_prior_scale=.01,\n",
    "                  changepoint_prior_scale=.01)\n",
    "prophet.fit(df)\n",
    "future = prophet.make_future_dataframe(periods=365 * 5, freq='D')\n",
    "future['cap'] = cap\n",
    "future['floor'] = floor\n",
    "forecast = prophet.predict(future)\n",
    "fig = prophet.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), prophet, forecast)\n",
    "plt.show()\n",
    "fig2 = prophet.plot_components(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "      <th>cap</th>\n",
       "      <th>floor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1995-01-01</td>\n",
       "      <td>3028</td>\n",
       "      <td>26000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1995-02-01</td>\n",
       "      <td>3370</td>\n",
       "      <td>26000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1995-03-01</td>\n",
       "      <td>3691</td>\n",
       "      <td>26000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1995-04-01</td>\n",
       "      <td>4070</td>\n",
       "      <td>26000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995-05-01</td>\n",
       "      <td>4243</td>\n",
       "      <td>26000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          ds     y    cap  floor\n",
       "0 1995-01-01  3028  26000      0\n",
       "1 1995-02-01  3370  26000      0\n",
       "2 1995-03-01  3691  26000      0\n",
       "3 1995-04-01  4070  26000      0\n",
       "4 1995-05-01  4243  26000      0"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = pd.to_datetime(pd.date_range('1995-01','2004-02', freq='M').strftime(\"%Y-%b\").tolist())\n",
    "y = [1 / (1 + np.e ** (-.03 * (val - 50))) for val in range(len(x))]  # create logistic curve\n",
    "y = [y[idx] + .01 * np.sin((idx - 2) * (360 / 12) * (np.pi / 180)) for idx in range(len(y))]  # add sinusoidal variation\n",
    "y = [val + random.uniform(-.01, .01) for val in y]  # add noise\n",
    "y = [int(500 * val) for val in y]  # scale up\n",
    "plt.figure(figsize=(14, 10))\n",
    "# plt.scatter(x, y)\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'ds': pd.to_datetime(x), 'y': y})\n",
    "# df.to_csv('data/wolves.csv', index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "cap = 500\n",
    "floor = 0\n",
    "\n",
    "df['cap'] = cap\n",
    "# df['floor'] = floor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
      "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prophet = Prophet(growth='logistic',\n",
    "                  yearly_seasonality=3)\n",
    "prophet.fit(df)\n",
    "future = prophet.make_future_dataframe(periods=365 * 10, freq='D')\n",
    "future['cap'] = cap\n",
    "future['floor'] = floor\n",
    "forecast = prophet.predict(future)\n",
    "fig = prophet.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), prophet, forecast)\n",
    "plt.show()\n",
    "fig2 = prophet.plot_components(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
      "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df2 = df.copy()\n",
    "df2['y'] = cap - df2['y']\n",
    "df2['floor'] = 0\n",
    "\n",
    "prophet = Prophet(growth='logistic',\n",
    "                  yearly_seasonality=3)\n",
    "prophet.fit(df2)\n",
    "future = prophet.make_future_dataframe(periods=365 * 10, freq='D')\n",
    "future['cap'] = cap\n",
    "future['floor'] = floor\n",
    "forecast = prophet.predict(future)\n",
    "fig = prophet.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), prophet, forecast)\n",
    "plt.show()\n",
    "fig2 = prophet.plot_components(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
